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Finding the Fourth Proportional to 1,315.28, 1,973.25 and 493.56

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Solution

The fourth proportional to 1,315.28, 1,973.25 and 493.56 is: 740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.28 : 1,973.25 = 493.56 : x
  2. Step 2: Convert to fraction form
    1,315.28/1,973.25 = 493.56/x
  3. Step 3: Cross multiply
    1,315.28x = 1,973.25 × 493.56
  4. Step 4: Simplify right side
    1,315.28x = 973,907.40
  5. Step 5: Solve for x
    x = 973,907.40/1,315.28
  6. Step 6: Final answer
    x = 740.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.